Application of the Point-Matching Method to Shallow-Spherical-Shell Theory

[+] Author and Article Information
H. D. Conway

Department of Mechanics and Materials, Cornell University, Ithaca, N. Y.

A. W. Leissa

Department of Engineering Mechanics, Ohio State University, Columbus, Ohio

J. Appl. Mech 29(4), 745-747 (Dec 01, 1962) (3 pages) doi:10.1115/1.3640664 History: Received November 07, 1961; Online September 16, 2011


Using Reissner’s [1] theory of the bending of shallow spherical shells, two unsymmetrical problems are investigated by the method of point-matching. The first is a uniformly loaded spherical shell clamped on a square base, numerical values of the moments and membrane forces being obtained and compared with the corresponding values for the case of a clamped circular base. The second problem is a spherical shell with a rigid elliptical insert, the latter carrying a central radial load. This gives information concerning the problem of a spherical shell which is pierced at an angle by a relatively rigid circular pipe.

Copyright © 1962 by ASME
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